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2340693936 = 243472293141
BaseRepresentation
bin1000101110000100…
…0010011110110000
320001010102120110000
42023201002132300
514243204201221
61024133110000
7112001366400
oct21341023660
96033376400
102340693936
11aa1295aa9
12553a88300
132b3c227c9
14182c22800
15da75de26
hex8b8427b0

2340693936 has 600 divisors, whose sum is σ = 8620698240. Its totient is φ = 609638400.

The previous prime is 2340693931. The next prime is 2340693941. The reversal of 2340693936 is 6393960432.

It is an interprime number because it is at equal distance from previous prime (2340693931) and next prime (2340693941).

It is a super-3 number, since 3×23406939363 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2340693891 and 2340693900.

It is not an unprimeable number, because it can be changed into a prime (2340693931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 57090076 + ... + 57090116.

Almost surely, 22340693936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2340693936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4310349120).

2340693936 is an abundant number, since it is smaller than the sum of its proper divisors (6280004304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2340693936 is a wasteful number, since it uses less digits than its factorization.

2340693936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 45.

The square root of 2340693936 is about 48380.7186387305. The cubic root of 2340693936 is about 1327.7456176760.

The spelling of 2340693936 in words is "two billion, three hundred forty million, six hundred ninety-three thousand, nine hundred thirty-six".